14189612616 has 128 divisors (see below), whose sum is σ = 39859344000. Its totient is φ = 4676914944.

The previous prime is 14189612611. The next prime is 14189612627. The reversal of 14189612616 is 61621698141.

14189612616 is a `hidden beast` number, since 1 + 4 + 18 + 9 + 6 + 12 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14189612611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8796226 + ... + 8797838.

It is an arithmetic number, because the mean of its divisors is an integer number (311401125).

Almost surely, 2^14189612616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14189612616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19929672000).

14189612616 is an abundant number, since it is smaller than the sum of its proper divisors (25669731384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14189612616 is a wasteful number, since it uses less digits than its factorization.

14189612616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2050 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 14189612616 in words is "fourteen billion, one hundred eighty-nine million, six hundred twelve thousand, six hundred sixteen".